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Proof step 12 from proof junkrefs-delete (previous step)

fs = mkfs(class, ty1, fieldvar), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), fs ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- fs ']), junkrefs(str, st[r0 -- fs '] .refval ' + refs, ty1, st -- r), ∀ str0, ty0, st0, r1. junkrefs(str0, st[r0 -- fs '] .refval ' + refs, ty0, st0 -- r1) → r1 = st[r0 -- fs '] .refval ∨ r1 ∈ refs ∨ junkrefs(str0, st[r0 -- fs '] .refval ' + refs, ty0, st0) ⊦ r = r0, r0 = jvmref, r = st[r0 -- fs '] .refval, r ∈ refs, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- fs '] .refval = st[r0 -- fs0 '] .refval ∧ junkrefs(str, st[r0 -- fs '] .refval ' + refs, fs0 .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st -- r), ∀ str0, ty0, st0, r1. junkrefs(str0, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0 -- r1) → r1 = st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ∨ r1 ∈ refs ∨ junkrefs(str0, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0) ⊦ r = r0, r0 = jvmref, r = st[r0 -- mkfs(class, ty1, fieldvar) '] .refval, r ∈ refs, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- mkfs(class, ty1, fieldvar) '] .refval = st[r0 -- fs0 '] .refval ∧ junkrefs(str, st[r0 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, fs0 .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]